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Finding the Third Proportional to 268,968 and 365,481

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Solution

The third proportional to 268,968 and 365,481 is: 496,625.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,968 : 365,481 = 365,481 : x
  2. Step 2: Convert to fraction form
    268,968/365,481 = 365,481/x
  3. Step 3: Cross multiply
    268,968x = 365,481 × 365,481
  4. Step 4: Simplify right side
    268,968x = 133,576,361,361
  5. Step 5: Solve for x
    x = 133,576,361,361/268,968
  6. Step 6: Final answer
    x = 496,625.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.